Question

El área de la región rectangular es 4400cm2. Calcula el valor de m

Answer 1

Answer:

m=52.17

Step-by-step explanation:

The complete question in Spanish is

El área de la región rectangular es 4400 cm2. Calcular el valor de m

largo :2m-20

ancho: m

The question in English is

The area of the rectangular region is 4400 cm2. Calculate the value of m

length :2m-20

width: m

we know that

The area of a rectangle is equal to

$A=LW$

where

L is the length

W is the width

we have

$A=4,400\ cm^2$

$L=(2m-20)\ cm$

$W=m\ cm$

substitute in the formula the given values and solve for m

$4,400=(2m-20)m$

Distribute in the right side

$4,400=2m^2-20m$

$2m^2-20m-4,400=0$

Solve the quadratic equation by graphing

Using a graphing tool

The solution is m=52.17  (the positive value is the solution)

see the attached figure